This is a really weak claim. The evidence they offer is just "someone somewhere says they had a discussion with AI about the topic at some point".

They don't even claim to have had a proof, only to have been working on it.

I would say there is a significant difference between AI discovering this completely on its own versus AI creating the finishing connecting part by connecting relevant data. Maybe this claim is too strong, but if part of it is true then the claims that OpenAI have made would be too strong as well.

To me it would feel more like how LLMs seem to work for me personally: incapable of unique work, but very capable of capturing large amounts of data and connecting the dots.

But this is what we do. Nobody ever invented or discovered anything in a vacuum - all discovery is synthesis of existing ideas and concepts applied to a novel domain. We laud Einstein for instance, but his work was a logical extension of Riemann - Riemann had a neat mathematical toy, Einstein described the universe with it - should we say Einstein was incapable of unique work?

The difference is that Einstein didn't literally have someone prompting him towards his result.

Uh, he did. Marcel Grossmann.

“It was Grossmann who emphasized the importance of a non-Euclidean geometry called Riemannian geometry (also elliptic geometry) to Einstein, which was a necessary step in the development of Einstein's general theory of relativity. Abraham Pais's book on Einstein suggests that Grossmann mentored Einstein in tensor theory as well. Grossmann introduced Einstein to the absolute differential calculus, started by Elwin Bruno Christoffel and fully developed by Gregorio Ricci-Curbastro and Tullio Levi-Civita. Grossmann facilitated Einstein's unique synthesis of mathematical and theoretical physics in what is still today considered the most elegant and powerful theory of gravity: the general theory of relativity.”

Grossmann collaborated with Einstein on GR, supplying quite a bit of the mathematical capacity required (which initially didn't come easily to Einstein). They published jointly, until Einstein was competent enough to work independently [1]. That's not equivalent to the situation being claimed here.

[1] https://arxiv.org/pdf/1312.4068

Yeah and we get a nice list of attributions for who developed which idea, while OpenAI just takes credit for everything its model spits out.

Correction: OpenAI takes credit for what it's model spits out in response to other people's prompts. That's even worse.

Sounds like you just copy-pasted from AI without even understanding what you're talking about.

Based on what you're saying, you're claiming this is Grossman's work, not Einstein's. Why don't we rewrite scientific history too based on your copy-pasted AI slop?

It's so pointless talking to idiots who don't what they're talking about when they use AI, just because they think AI does everything, that reflects their own experience, not the experience of people who actually do real work. Some people are driven by AI, others drive it. As for those who are driven by it, they don't have sufficient imagination to think otherwise.

That’s Wikipedia I copy pasted but sure, you do you.

And yes - without Grossmann, Einstein likely would never have posited relativity. Grossmann literally prompted him, saying “look at this, read that, learn this, then try this approach”. Without riemann’s metric tensor, not a fucking chance.

And for what it’s worth my PhD is in physics. You?

So you're just equivocating on terms like "prompt", "synthesis" and the like. Clearly a PhD in physics does not free people from scientistic modes of thinking and poor philosophy.

To think this discussion is about Einstein who had a much better mind on these things as well.

Actually, my undergraduate degree was physics and philosophy. And yes, synthesis is synthesis whether a human, a machine, or a duck does it, and people prompt one another all the time - “have you thought about trying X?” Or “I need the TPS report by EOB”.

I suppose my underlying point is that human cognition is not the unique and beautiful thing that we anthropocentrically suppose it to be - it is a physical process, with stochastic outcomes. Much like transformers.

Me, I’m just a machine made of meat. You can suppose yourself to be God’s perfect creation, and that’s your right, but I disagree.

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A lot of math is extremely specialized, to the extent that only a handful of other experts in some field have any experience with those mathematical ideas, with most of them not even yet present in the published literature. It's really not a stretch to claim that it's pretty dubious when the AI decides to use these highly specialized tools after it has trained on chat logs where these techniques were being discussed.

The AI only seem to solve the problems that it had human trading data on…

If this wasn’t human driven, I’d expect to see other problems within that problem. Space solved not just the ones that it had chat data on.

There have been about 6-8 major math breakthroughs claimed by AI. Only for 2 of them there are public accusations about the training data.

Only? That doesn't look small to me.

That we know of